Are you able $to$ answer $c,d,e,f$ A yo$-$yo is made of two uniform disks, each of mass $M$ and radius

$R,$ which are glued to a smaller central axle of negligible mass and

radius $0\mathrm{.}5R($see figure$).$ A string is wrapped tightly around the

axle. The yo$-$yo is then released from rest and allowed to drop

downwards, as the string unwinds without slipping from the

central axle.

A$)$ Find the moment of inertia, I, of the yo$-$yo with respect to an

axis through the common centers of the disks, in terms of the

mass and radius.

B$)$ Using energy considerations, find the linear speed $v$ of the yo$-$

yo$,$ after it has descended a distance $H.$

C$)$ Draw a free body diagram for the yo$-$yo$.$

D$)$ Write appropriate Newton's Laws equations.

E$)$ Find the yoyo's angular acceleration and tension in the string.

F$)$ How long does it take and how many revolutions does the yoyo turn in descending a distance $H?$a